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Finding the Fourth Proportional to 75,871.95, 113,858.71 and 31,498.74

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Solution

The fourth proportional to 75,871.95, 113,858.71 and 31,498.74 is: 47,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,871.95 : 113,858.71 = 31,498.74 : x
  2. Step 2: Convert to fraction form
    75,871.95/113,858.71 = 31,498.74/x
  3. Step 3: Cross multiply
    75,871.95x = 113,858.71 × 31,498.74
  4. Step 4: Simplify right side
    75,871.95x = 3,586,405,903.03
  5. Step 5: Solve for x
    x = 3,586,405,903.03/75,871.95
  6. Step 6: Final answer
    x = 47,269.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.